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Differential Equations Jeffrey R. Chasnov
The contents of this book include: A short mathematical review, Introduction to odes, First-order odes , Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.
Author(s): Jeffrey R. Chasnov
149 Pages
Ordinary Differential Equations by Gabriel Nagy
This note describes the main ideas to solve certain differential equations, such us first order scalar equations, second order linear equations, and systems of linear equations. It uses power series methods to solve variable coefficients second order linear equations. Also introduces Laplace transform methods to find solutions to constant coefficients equations with generalized source functions.
Author(s): Gabriel Nagy
431 Pages
Introduction to Differential Equations by Andrew D. Lewis
This note explains the following topics: What are differential equations, Polynomials, Linear algebra, Scalar ordinary differential equations, Systems of ordinary differential equations, Stability theory for ordinary differential equations, Transform methods for differential equations, Second-order boundary value problems.
Author(s): Andrew D. Lewis
641 Pages
Ordinary Differential Equation by Alexander Grigorian
This note covers the following topics: Notion of ODEs, Linear ODE of 1st order, Second order ODE, Existence and uniqueness theorems, Linear equations and systems, Qualitative analysis of ODEs, Space of solutions of homogeneous systems, Wronskian and the Liouville formula.
Author(s): Alexander Grigorian
133 Pages
Differential Equations for Engineers
This note covers the following topics: The trigonometric functions, The fundamental theorem of calculus, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.
Author(s): Jeffrey R. Chasnov
149 Pages
Ordinary Differential Equations For Engineers
This note describes the following topics: First Order Differential Equations, N-th Order Differential Equations, Linear Differential Equations, Laplace Transforms, Inverse Laplace Transform, Systems Of Linear Differential Equations, Series Solution Of Linear Differential Equations.
Author(s): Jian-jun Xu
147 Pages
Introduction to Partial Differential Equations
Goal of this note is to develop the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from physics. Topics covered includes: Power Series, Symmetry and Orthogonality, Fourier Series, Partial Differential Equations, PDE’s in Higher Dimensions.
Author(s): John Douglas Moore
169 Pages
Lectures on Differential Equations
This note covers the following topics: First Order Equations and Conservative Systems, Second Order Linear Equations, Difference Equations, Matrix Differential Equations, Weighted String, Quantum Harmonic Oscillator, Heat Equation and Laplace Transform.
Author(s): Craig A. Tracy
175 Pages
Elementary Differential Equations With Boundary Value Problems
This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier Expansions, Fourier Solutions of Partial Differential Equations, Boundary Value Problems for Second Order Linear Equations.
Author(s): William F. Trench
806 Pages
Notes on Partial Differential Equations
This book covers the following topics: Laplace's equations, Sobolev spaces, Functions of one variable, Elliptic PDEs, Heat flow, The heat equation, The Fourier transform, Parabolic equations, Vector-valued functions and Hyperbolic equations.
Author(s): John K. Hunter
224 Pages
Partial Differential Equations pdf
This note covers the following topics: Model Problems, finite Difference Methods, Matrix Representation, Numerical Stability, The L-Shaped Membrane.
Author(s): David W. Walker
21 Pages
This note covers the following topics: Derivatives, differential equations, partial differential equations, distributions, Cauchy-Kowalewsky theorem, heat equation, Laplace equation, Schrodinger equation, wave equation, Cauchy-Riemann equations.
Author(s): L. Boutet de Monvel
26 Pages
Second Order Linear Differential Equations
This note contains problems and their solutions related to Second-Order Linear Differential Equations.
Author(s): NA
10 Pages
Differential Equations (Dawkins P)
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Monograph on quasilinear partial differential equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
